3538396224 has 210 divisors, whose sum is σ = 11531181662. Its totient is φ = 1072051200.

The previous prime is 3538396223. The next prime is 3538396271. The reversal of 3538396224 is 4226938353.

3538396224 is a `hidden beast` number, since 3 + 5 + 38 + 396 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3528360000 + 10036224 = 59400^2 + 3168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3538396224.

It is not an unprimeable number, because it can be changed into a prime (3538396223) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 624444 + ... + 630084.

Almost surely, 2^3538396224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3538396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765590831).

3538396224 is an abundant number, since it is smaller than the sum of its proper divisors (7992785438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3538396224 is a wasteful number, since it uses less digits than its factorization.

3538396224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5657 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3538396224 is about 59484.4200106213. The cubic root of 3538396224 is about 1523.8263798741.

It can be divided in two parts, 353839 and 6224, that added together give a palindrome (360063).

The spelling of 3538396224 in words is "three billion, five hundred thirty-eight million, three hundred ninety-six thousand, two hundred twenty-four".